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Neither Greater-Than nor Equal To

The Mathematical Symbol "Neither Greater-Than nor Equal To (≱)"

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The "Neither Greater-Than nor Equal To" Symbol (≱)

In the vast ocean of mathematical notation, symbols play a pivotal role in ensuring precise communication. Among them, the ≱ symbol, representing "Neither Greater-Than nor Equal To", is of particular interest. This short lesson covers the meaning and usage of this special symbol.

Understanding ≱

The ≱ symbol is an inequality operator used to show that one value is neither greater than nor equal to another. In simple terms, it indicates that the value on the left is strictly less than the value on the right. This is the opposite of the "greater-than or equal to" operator.

Example 1: Basic Inequality

If \( a \) and \( b \) are two real numbers and \( a \) is strictly less than \( b \), then the inequality can be expressed as: \[ a ≱ b \]

Example 2: Variables and Constants

If you want to state that a variable \( x \) is strictly less than a constant value, say 5, it can be written as: \[ x ≱ 5 \]

Applications of ≱

The ≱ notation is universally applicable across various mathematical domains:

  • Algebra: While solving inequalities.
  • Calculus: When discussing limits and functions' behaviors.
  • Statistics: In identifying and describing data trends and outliers.

The ≱ symbol helps in decluttering mathematical expressions and provides clarity, especially in complex mathematical derivations and proofs.

In summary, the ≱ symbol is an instrumental component of the mathematical lexicon. It succinctly represents a specific type of relationship between two values, ensuring that mathematical arguments remain both concise and clear.

Mathematical symbol 'Neither Greater-Than nor Equal To'

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Codes for the ≱ Symbol

The Symbol
Alt CodeAlt 8817
HTML Code≱
HTML Entity≱
CSS Code\2271
Hex Code≱
UnicodeU+2271

How To Insert the ≱ Symbol

(Method 1) Copy and paste the symbol.

The easiest way to get the ≱ symbol is to copy and paste it into your document.

Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.

(Method 2) Use the "Alt Code."

If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 8817. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)

(Method 3) Use the HTML Decimal Code (for webpages).

HTML TextOutput
<b>My symbol: &#8817;</b>My symbol: ≱

(Method 4) Use the HTML Entity Code (for webpages).

HTML TextOutput
<b>My symbol: &nge;</b>My symbol: ≱

(Method 5) Use the CSS Code (for webpages).

CSS and HTML TextOutput
<style>
span:after {
content: "\2271";}
</style>
<span>My symbol:</span>
My symbol: ≱

(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).

HTML TextOutput
<b>My symbol: &#x2271;</b>My symbol: ≱
On the assumption that you already have your canvas and the context set up, use the Hex code in the format 0x2271 to place the ≱ symbol on your canvas. For example:
JavaScript Text
const x = "0x"+"E9"
ctx.fillText(String.fromCodePoint(x), 5, 5);
Output

(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).

The Unicode for ≱ is U+2271. The important part is the hexadecimal number after the U+, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:
TypeOutput
2271
[Hold down Alt]
[Press x]

(The 2271 turns into ≱. Note that you can omit any leading zeros.)
In JavaScript, the syntax is \uXXXX. So, our example would be \u2271. (Note that the format is 4 hexadecimal characters.)
JavaScript TextOutput
let str = "\u2271"
document.write("My symbol: " + str)
My symbol: ≱

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More about Mathematical Symbols

Mathematics is a universal language that is used to describe and understand the intricacies of the universe. At the heart of this language are symbols, concise representations that convey specific meanings and ideas.

Just as letters come together to form words in spoken languages, mathematical symbols combine to form expressions and equations, encapsulating intricate ideas in a compact form. The history of these symbols is as varied as their meanings; some have been in use for centuries while others have been introduced more recently to describe new discoveries and concepts. Whether you are a student, educator, researcher, or simply curious, this list of mathematical symbols will serve as a guide, shedding light on their meanings, origins, and applications.

From the simple plus and minus signs to the more esoteric and complex, each symbol has its unique story and significance.

More Symbols

Full List of Mathematical Symbols